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Stability of switching linear systems with switching signals driven by stochastic processes
Authors:Alessandro N Vargas  Constantin F Caruntu  João Y Ishihara
Institution:1. Universidade Tecnológica Federal do Paraná, UTFPR, Av. Alberto Carazzai 1640, Cornelio Procópio-PR 86300-000, Brazil;2. Escola d’Enginyeria de Barcelona Est, CoDAlab (Control, Dynamics and Applications), Universitat Politècnica de Catalunya Barcelona Tech, Carrer d’Eduard Maristany, 10–14, Barcelona 08930, Spain;3. Department of Automatic Control and Applied Informatics, Gheorghe Asachi Technical University of Iasi, Str. Prof. D. Mangeron, no. 26, Iasi, Romania;4. Universidade de Brasília, UnB, FT, Gleba A, SG11, Brasília-DF, 70910-900, Brazil
Abstract:This paper presents conditions to assure the exponential stability in probability for autonomous switching linear systems. The switching signal acting on the autonomous system produces intervals that follow independent, identically distributed stochastic processes—the stability then follows by verifying simple-to-check linear matrix inequalities.
Keywords:Corresponding author at: Universidade Tecnológica Federal do Paraná  UTFPR  Av  Alberto Carazzai 1640  Cornelio Procópio-PR 86300-000  Brazil  
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